Macaulay matrix for Feynman integrals: linear relations and intersection numbers

Abstract We elaborate on the connection between Gel’fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman Integrals. We propose a novel, more efficient algorithm to compute Macaulay matrices, which are used to derive Pfaffian systems of di...

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Bibliographic Details
Main Authors: Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2022)187